You are reading the conclusions of a document. For each conclusion below you are given its text and
the texts of the premises it is currently known to rest on. Ask: what else must be true for this
conclusion to follow from these premises?

Return one record per conclusion, with "conclusion" set to its id and "premises" listing each further
premise it needs:
- {"stated_at": "<id>"} when the document itself states the premise: give the id of that chunk from
  the list of chunks below. Do not repeat a premise the conclusion is already known to rest on.
- {"statement": "<text>"} when the document does not state it: write the premise as one short,
  self-contained sentence. Use the same sentence, word for word, for the same premise of several
  conclusions.
Give the premises that matter most first. A conclusion that needs nothing further gets an empty list.

Do not give probabilities, confidence levels or any other judgement of whether a premise is true.

Conclusions, each as id: text, then the premises it rests on:
s-2b: the estimator is therefore consistent
  rests on s-2a: The bias vanishes for long segments
s-3: This suggests that the method may extend to coloured noise.
  rests on s-2a: The bias vanishes for long segments
  rests on e-1: \begin{equation} b = \frac{c}{N} \end{equation}
s-5: We expect the estimator to stay unbiased in practice.
  rests on s-4: Smith reports a bias below 1\% in comparable settings~\cite{smith2020}.

Chunks of the document, in document order, as id: text
s-1: We simulate 400 noise realisations with a Welch estimator.
s-2a: The bias vanishes for long segments
s-2b: the estimator is therefore consistent
e-1: \begin{equation} b = \frac{c}{N} \end{equation}
s-3: This suggests that the method may extend to coloured noise.
s-4: Smith reports a bias below 1\% in comparable settings~\cite{smith2020}.
s-5: We expect the estimator to stay unbiased in practice.
r-1: A. Smith, Estimators of noise, J. Stat. 12 (2020) 1.

Records from your previous answer that were not applied, with the error each one got. If this list
is not empty, return corrected records for these conclusions only, and nothing else:
[]
